Finding the Fourth Proportional to 9,105.82, 13,663.98 and 3,840.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.82 : 13,663.98 = 3,840.46 : x
2. Step 2: Convert to fraction form
   9,105.82/13,663.98 = 3,840.46/x
3. Step 3: Cross multiply
   9,105.82x = 13,663.98 × 3,840.46
4. Step 4: Simplify right side
   9,105.82x = 52,475,968.63
5. Step 5: Solve for x
   x = 52,475,968.63/9,105.82
6. Step 6: Final answer
   x = 5,762.90